A heart valve prosthesis configured for placement at a mitral valve in the heart is disclosed that includes a stent-like support structure for supporting a prosthetic mitral valve. The support structure is configured to have a low ventricular profile with only a short length thereof protruding into the left ventricle when deployed in vivo. The support structure includes an upstream section that is outwardly expandable to sit against the atrial wall so as to at least partially anchor the prosthesis therein and a downstream section to which the prosthetic mitral valve is coupled that extends between the left atria and ventricle through the native mitral valve. The low-ventricular profile of the prosthesis is achieved by shaping the support structure such that the downstream section extends within and overlaps with the upstream section at given regions around the circumference of the support structure in an expanded configuration.
